6533b862fe1ef96bd12c76e3
RESEARCH PRODUCT
The $q$-calculus for generic $q$ and $q$ a root of unity
J. A. De AzcárragaR. S. DunneA.j. MacfarlaneJ. C. Perez Buenosubject
High Energy Physics - TheoryPure mathematicsRoot of unityAlgebraic structureFOS: Physical sciencesGeneral Physics and AstronomyFractional supersymmetryHigh Energy Physics - Theory (hep-th)Mathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)Limit (mathematics)Representation (mathematics)Mathematicsdescription
The $q$-calculus for generic $q$ is developed and related to the deformed oscillator of parameter $q^{1/2}$. By passing with care to the limit in which $q$ is a root of unity, one uncovers the full algebraic structure of ${{\cal Z}}_n$-graded fractional supersymmetry and its natural representation.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-12-01 |